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132026488 = 231121771113
BaseRepresentation
bin1111101111010…
…01000001111000
3100012102122021221
413313221001320
5232244321423
621033441424
73162130606
oct767510170
9305378257
10132026488
1168586500
1238270274
1321477ca9
141376a876
15b8cde5d
hex7de9078

132026488 has 96 divisors (see below), whose sum is σ = 294749280. Its totient is φ = 55193600.

The previous prime is 132026467. The next prime is 132026491. The reversal of 132026488 is 884620231.

It is a super-2 number, since 2×1320264882 = 34861987067228288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168320 + ... + 1168432.

It is an arithmetic number, because the mean of its divisors is an integer number (3070305).

Almost surely, 2132026488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132026488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147374640).

132026488 is an abundant number, since it is smaller than the sum of its proper divisors (162722792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132026488 is a wasteful number, since it uses less digits than its factorization.

132026488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 132026488 is about 11490.2779774904. The cubic root of 132026488 is about 509.1983921249.

The spelling of 132026488 in words is "one hundred thirty-two million, twenty-six thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 71 88 113 121 136 142 187 226 242 284 374 452 484 568 748 781 904 968 1207 1243 1496 1562 1921 2057 2414 2486 3124 3842 4114 4828 4972 6248 7684 8023 8228 8591 9656 9944 13277 13673 15368 16046 16456 17182 21131 26554 27346 32092 34364 42262 53108 54692 64184 68728 84524 88253 106216 109384 136391 146047 169048 176506 232441 272782 292094 353012 464882 545564 584188 706024 929764 970783 1091128 1168376 1500301 1859528 1941566 3000602 3883132 6001204 7766264 12002408 16503311 33006622 66013244 132026488